34206500736 has 384 divisors, whose sum is σ = 108532569600. Its totient is φ = 10301644800.

The previous prime is 34206500707. The next prime is 34206500789. The reversal of 34206500736 is 63700560243.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34206500736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42177771 + ... + 42178581.

It is an arithmetic number, because the mean of its divisors is an integer number (282636900).

Almost surely, 2^34206500736 is an apocalyptic number.

34206500736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34206500736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54266284800).

34206500736 is an abundant number, since it is smaller than the sum of its proper divisors (74326068864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34206500736 is a wasteful number, since it uses less digits than its factorization.

34206500736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 34206500736 in words is "thirty-four billion, two hundred six million, five hundred thousand, seven hundred thirty-six".